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Finding the Fourth Proportional to 158.78, 239.04 and 123.14

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Solution

The fourth proportional to 158.78, 239.04 and 123.14 is: 185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.78 : 239.04 = 123.14 : x
  2. Step 2: Convert to fraction form
    158.78/239.04 = 123.14/x
  3. Step 3: Cross multiply
    158.78x = 239.04 × 123.14
  4. Step 4: Simplify right side
    158.78x = 29,435.39
  5. Step 5: Solve for x
    x = 29,435.39/158.78
  6. Step 6: Final answer
    x = 185.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.